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Finding the Fourth Proportional to 929.90, 1,283.18 and 537.05

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Solution

The fourth proportional to 929.90, 1,283.18 and 537.05 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.90 : 1,283.18 = 537.05 : x
  2. Step 2: Convert to fraction form
    929.90/1,283.18 = 537.05/x
  3. Step 3: Cross multiply
    929.90x = 1,283.18 × 537.05
  4. Step 4: Simplify right side
    929.90x = 689,132.34
  5. Step 5: Solve for x
    x = 689,132.34/929.90
  6. Step 6: Final answer
    x = 741.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.